Prime p₀= 1233854934949551581 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 38
Found by: Theadalus
db: batch=77, k=10, 2 4 2 10 2

STPT(10)	1233853830872633879	0 2 18 20 30 32 42 44 60 62	-1104076917702
TPT(14)	1233853968804472259	0 2 12 14 60 62 72 74 168 170 180 182 252 254	-966145079322
SPT(16)	1233854476601832931	0 10 18 46 66 72 108 132 136 160 196 202 222 250 258 268	-458347718650
SPT(16)	1233854610083165209	0 10 18 40 54 88 94 112 150 168 174 208 222 244 252 262	-324866386372
SPT(16)	1233854650257137789	0 12 38 60 74 90 102 104 108 110 122 138 152 174 200 212	-284692413792
SPT(16)	1233854863942678487	0 2 14 20 30 44 56 66 80 90 102 116 126 132 144 146	-71006873094
SPT(16)	1233855205082206573	0 34 76 84 88 154 196 208 306 318 360 426 430 438 480 514	270132654992
SPT(16)	1233855403849645189	0 22 60 64 78 144 160 162 280 282 298 364 378 382 420 442	468900093608
STPT(10)	1233855574689317549	0 2 12 14 30 32 48 50 60 62	639739765968
STPT(10)	1233855681039361337	0 2 12 14 42 44 72 74 84 86	746089809756
STPT(10)	1233855821419350287	0 2 54 56 72 74 90 92 144 146	886469798706